Pith Number

pith:ZAWTEAWS

pith:2012:ZAWTEAWS2HQX33LHST5DLRWL7U

not attested not anchored not stored refs pending

Local multifractal analysis in metric spaces

Antti K\"aenm\"aki, Tapio Rajala, Ville Suomala

arxiv:1209.3648 v2 · 2012-09-17 · math.CA · math.DS · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAWTEAWS2HQX33LHST5DLRWL7U}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:51:34.428785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c82d3202d2d1e17ded6794fa35c6cbfd251c407c2b8e8ed443cb8f56ffc04808

Aliases

arxiv: 1209.3648 · arxiv_version: 1209.3648v2 · doi: 10.48550/arxiv.1209.3648 · pith_short_12: ZAWTEAWS2HQX · pith_short_16: ZAWTEAWS2HQX33LH · pith_short_8: ZAWTEAWS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZAWTEAWS2HQX33LHST5DLRWL7U \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c82d3202d2d1e17ded6794fa35c6cbfd251c407c2b8e8ed443cb8f56ffc04808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71dde4e0a90e5d0994b288ee8d5da90d541c3052a4e4da85ee8c9995939b2d96",
    "cross_cats_sorted": [
      "math.DS",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-17T13:38:36Z",
    "title_canon_sha256": "78bc6e5d1b6695840141845cb2548bdc70745f3562a2b3ec34811e3c6d7b4148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3648",
    "kind": "arxiv",
    "version": 2
  }
}